Hadoop questions |

Logos Quiz |

Informatica questions |

C-Objective |

RDBMS questions |

Idioms and phrases |

Biology questions |

Probability questions |

1. A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

A. 20

B. 30

C. 40

D. 50

**Answer : ****40**

Volume of the block = (6 x 12 x 15) cm^{3} = 1080.

Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm = 3 cm.

Volume of this cube = (3 x 3 x 3) = 27 cm^{3}.

Number of cubes = 1080/27 = 40

2. A right-angled triangle has a hypotenuse of 13 cm and one side of 12 cm. Its area is

A. 30

B. 39

C. 80

D. 78

**Answer : ****30**

For a right-angled triangle ∆ABC given above,

BC^{2} = AC^{2} – AB^{2} ► BC = 5

ஃ Area of ∆ABC = 1/2 x AB x BC =30

3. A circular park of 20-metre diameter has a circular path just inside the boundary of width 1 metre. The area of the path is

A. 15π

B. 17π

C. 19π

D. 25π

**Answer : ****19π**

Area of the path

= π × 10^{2} – π × 9^{2}

= π(100 – 81) = 19π

4. The surface area of a cube is 150 sq cm. What is the length of its diagonal in cm ?

A. 5

B. 5√3 / 2

C. 5√3

D. 5√2

**Answer : ****5√3**

Let a be the side of the cube.

Surface area of the cube = 6a^{2}

Given, 6a^{2} = 150

a = 5

Length of the diagonal of the cube = √(a^{2} + (Diagonal of the face of the cube)^{2})

--> √(a^{2} + a^{2} + a^{2})

--> a√3

--> 5√3

5. If the circumference and the area of a circle are numerically equal, then what is the numerical value of the diameter ?

A. 1

B. 2

C. 4

D. π

**Answer : ****4**

Let r be the radius of the circle.

Given, 2πr ≈ r^{2}

2r ≈ r^{2}

r ≈ 2

Diameter = 2r = 4

Aptibook is a knowledge repository designed to serve quality based solutions for learning purpose. The content of the site is being reviewed carefully before and after publishing it. Constant review is performed to avoid any errors or inappropriate content however we cannot warrant full correctness of all content. While using this site, you agree to have read and accepted our terms of use, cookie and privacy policy. Copyright ©2013-2016. All Rights Reserved.